In a linear model estimating the cost of an HDTV based on screen size, what is the most likely value of the slope of the line of best fit?

In a linear model estimating the cost of an HDTV based on screen size, what is the most likely value of the slope of the line of best fit?

• A. 50
• B. 70
• C. 100
• D. 30

Answer: (B)

In the context of a linear model estimating the cost of an HDTV based on screen size, the slope of the line of best fit represents the change in cost for each additional unit increase in screen size, usually measured in inches. A slope value of 70 suggests that for every inch increase in screen size, the estimated cost of the HDTV increases by approximately $70. This is a reasonable estimate when considering current market trends, where larger screens generally come at a higher price point due to increased production costs, demand, and perceived value among consumers. Slope values that are significantly lower may not capture the broader range of prices associated with larger screens, and higher values could underestimate the actual cost-effectiveness seen in newer models that offer more features or technology enhancements without drastic increases in prices. By assessing the trends in pricing and market data, the choice of 70 illustrates a mid-range estimate that aligns well with the general expectations around how price corresponds to screen size for HDTVs, making it a logical selection.

In the context of a linear model estimating the cost of an HDTV based on screen size, the slope of the line of best fit represents the change in cost for each additional unit increase in screen size, usually measured in inches. A slope value of 70 suggests that for every inch increase in screen size, the estimated cost of the HDTV increases by approximately $70.

This is a reasonable estimate when considering current market trends, where larger screens generally come at a higher price point due to increased production costs, demand, and perceived value among consumers. Slope values that are significantly lower may not capture the broader range of prices associated with larger screens, and higher values could underestimate the actual cost-effectiveness seen in newer models that offer more features or technology enhancements without drastic increases in prices.

By assessing the trends in pricing and market data, the choice of 70 illustrates a mid-range estimate that aligns well with the general expectations around how price corresponds to screen size for HDTVs, making it a logical selection.